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Finding the Fourth Proportional to 388,175.41, 535,714.88 and 218,442.34

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Solution

The fourth proportional to 388,175.41, 535,714.88 and 218,442.34 is: 301,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,175.41 : 535,714.88 = 218,442.34 : x
  2. Step 2: Convert to fraction form
    388,175.41/535,714.88 = 218,442.34/x
  3. Step 3: Cross multiply
    388,175.41x = 535,714.88 × 218,442.34
  4. Step 4: Simplify right side
    388,175.41x = 117,022,813,351.33
  5. Step 5: Solve for x
    x = 117,022,813,351.33/388,175.41
  6. Step 6: Final answer
    x = 301,468.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.